Find the Exact Value 1/3+2/5

$\frac{1}{3} + \frac{2}{5}$

To write $\frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{1}{3} \cdot \frac{5}{5} + \frac{2}{5}$

To write $\frac{2}{5}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{1}{3} \cdot \frac{5}{5} + \frac{2}{5} \cdot \frac{3}{3}$

Write each expression with a common denominator of $15$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{3}$ by $\frac{5}{5}$ .

$\frac{5}{3 \cdot 5} + \frac{2}{5} \cdot \frac{3}{3}$

Multiply $3$ by $5$ .

$\frac{5}{15} + \frac{2}{5} \cdot \frac{3}{3}$

Multiply $\frac{2}{5}$ by $\frac{3}{3}$ .

$\frac{5}{15} + \frac{2 \cdot 3}{5 \cdot 3}$

Multiply $5$ by $3$ .

$\frac{5}{15} + \frac{2 \cdot 3}{15}$

Combine the numerators over the common denominator.

$\frac{5 + 2 \cdot 3}{15}$

Simplify the numerator.

Multiply $2$ by $3$ .

$\frac{5 + 6}{15}$

Add $5$ and $6$ .

$\frac{11}{15}$

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{15}$

Decimal Form:

$0.7\overline{3}$